TSTP Solution File: KRS106+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:28:43 EDT 2024
% Result : Unsatisfiable 0.54s 0.70s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 00:11:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.54/0.70 % Version: 1.5
% 0.54/0.70 % SZS status Unsatisfiable
% 0.54/0.70 % SZS output start CNFRefutation
% 0.54/0.70 fof(axiom_3,axiom,(![X]:(cp1(X)<=>(~(?[Y]:ra_Px1(X,Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.54/0.70 fof(c35,plain,(![X]:((~cp1(X)|(![Y]:~ra_Px1(X,Y)))&((?[Y]:ra_Px1(X,Y))|cp1(X)))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.54/0.70 fof(c36,plain,((![X]:(~cp1(X)|(![Y]:~ra_Px1(X,Y))))&(![X]:((?[Y]:ra_Px1(X,Y))|cp1(X)))),inference(shift_quantors,[status(thm)],[c35])).
% 0.54/0.70 fof(c37,plain,((![X19]:(~cp1(X19)|(![X20]:~ra_Px1(X19,X20))))&(![X21]:((?[X22]:ra_Px1(X21,X22))|cp1(X21)))),inference(variable_rename,[status(thm)],[c36])).
% 0.54/0.70 fof(c39,plain,(![X19]:(![X20]:(![X21]:((~cp1(X19)|~ra_Px1(X19,X20))&(ra_Px1(X21,skolem0002(X21))|cp1(X21)))))),inference(shift_quantors,[status(thm)],[fof(c38,plain,((![X19]:(~cp1(X19)|(![X20]:~ra_Px1(X19,X20))))&(![X21]:(ra_Px1(X21,skolem0002(X21))|cp1(X21)))),inference(skolemize,[status(esa)],[c37])).])).
% 0.54/0.70 cnf(c40,plain,~cp1(X86)|~ra_Px1(X86,X87),inference(split_conjunct,[status(thm)],[c39])).
% 0.54/0.70 fof(axiom_8,axiom,cUnsatisfiable(i2003_11_14_17_20_57644),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_8)).
% 0.54/0.70 cnf(c18,plain,cUnsatisfiable(i2003_11_14_17_20_57644),inference(split_conjunct,[status(thm)],[axiom_8])).
% 0.54/0.70 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rf3(X,Y)&cp2(Y)))&(?[Y]:(rf1(X,Y)&cp1(Y))))&(?[Y]:(rf2(X,Y)&cp1xcomp(Y)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.54/0.70 fof(c42,plain,(![X]:((~cUnsatisfiable(X)|(((?[Y]:(rf3(X,Y)&cp2(Y)))&(?[Y]:(rf1(X,Y)&cp1(Y))))&(?[Y]:(rf2(X,Y)&cp1xcomp(Y)))))&((((![Y]:(~rf3(X,Y)|~cp2(Y)))|(![Y]:(~rf1(X,Y)|~cp1(Y))))|(![Y]:(~rf2(X,Y)|~cp1xcomp(Y))))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.54/0.70 fof(c43,plain,((![X]:(~cUnsatisfiable(X)|(((?[Y]:(rf3(X,Y)&cp2(Y)))&(?[Y]:(rf1(X,Y)&cp1(Y))))&(?[Y]:(rf2(X,Y)&cp1xcomp(Y))))))&(![X]:((((![Y]:(~rf3(X,Y)|~cp2(Y)))|(![Y]:(~rf1(X,Y)|~cp1(Y))))|(![Y]:(~rf2(X,Y)|~cp1xcomp(Y))))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c42])).
% 0.54/0.70 fof(c44,plain,((![X23]:(~cUnsatisfiable(X23)|(((?[X24]:(rf3(X23,X24)&cp2(X24)))&(?[X25]:(rf1(X23,X25)&cp1(X25))))&(?[X26]:(rf2(X23,X26)&cp1xcomp(X26))))))&(![X27]:((((![X28]:(~rf3(X27,X28)|~cp2(X28)))|(![X29]:(~rf1(X27,X29)|~cp1(X29))))|(![X30]:(~rf2(X27,X30)|~cp1xcomp(X30))))|cUnsatisfiable(X27)))),inference(variable_rename,[status(thm)],[c43])).
% 0.54/0.70 fof(c46,plain,(![X23]:(![X27]:(![X28]:(![X29]:(![X30]:((~cUnsatisfiable(X23)|(((rf3(X23,skolem0003(X23))&cp2(skolem0003(X23)))&(rf1(X23,skolem0004(X23))&cp1(skolem0004(X23))))&(rf2(X23,skolem0005(X23))&cp1xcomp(skolem0005(X23)))))&((((~rf3(X27,X28)|~cp2(X28))|(~rf1(X27,X29)|~cp1(X29)))|(~rf2(X27,X30)|~cp1xcomp(X30)))|cUnsatisfiable(X27)))))))),inference(shift_quantors,[status(thm)],[fof(c45,plain,((![X23]:(~cUnsatisfiable(X23)|(((rf3(X23,skolem0003(X23))&cp2(skolem0003(X23)))&(rf1(X23,skolem0004(X23))&cp1(skolem0004(X23))))&(rf2(X23,skolem0005(X23))&cp1xcomp(skolem0005(X23))))))&(![X27]:((((![X28]:(~rf3(X27,X28)|~cp2(X28)))|(![X29]:(~rf1(X27,X29)|~cp1(X29))))|(![X30]:(~rf2(X27,X30)|~cp1xcomp(X30))))|cUnsatisfiable(X27)))),inference(skolemize,[status(esa)],[c44])).])).
% 0.54/0.70 fof(c47,plain,(![X23]:(![X27]:(![X28]:(![X29]:(![X30]:(((((~cUnsatisfiable(X23)|rf3(X23,skolem0003(X23)))&(~cUnsatisfiable(X23)|cp2(skolem0003(X23))))&((~cUnsatisfiable(X23)|rf1(X23,skolem0004(X23)))&(~cUnsatisfiable(X23)|cp1(skolem0004(X23)))))&((~cUnsatisfiable(X23)|rf2(X23,skolem0005(X23)))&(~cUnsatisfiable(X23)|cp1xcomp(skolem0005(X23)))))&((((~rf3(X27,X28)|~cp2(X28))|(~rf1(X27,X29)|~cp1(X29)))|(~rf2(X27,X30)|~cp1xcomp(X30)))|cUnsatisfiable(X27)))))))),inference(distribute,[status(thm)],[c46])).
% 0.54/0.70 cnf(c53,plain,~cUnsatisfiable(X100)|cp1xcomp(skolem0005(X100)),inference(split_conjunct,[status(thm)],[c47])).
% 0.54/0.70 cnf(c123,plain,cp1xcomp(skolem0005(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c53, c18])).
% 0.54/0.70 fof(axiom_4,axiom,(![X]:(cp1xcomp(X)<=>(?[Y0]:ra_Px1(X,Y0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.54/0.70 fof(c28,plain,(![X]:((~cp1xcomp(X)|(?[Y0]:ra_Px1(X,Y0)))&((![Y0]:~ra_Px1(X,Y0))|cp1xcomp(X)))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.54/0.70 fof(c29,plain,((![X]:(~cp1xcomp(X)|(?[Y0]:ra_Px1(X,Y0))))&(![X]:((![Y0]:~ra_Px1(X,Y0))|cp1xcomp(X)))),inference(shift_quantors,[status(thm)],[c28])).
% 0.54/0.70 fof(c30,plain,((![X15]:(~cp1xcomp(X15)|(?[X16]:ra_Px1(X15,X16))))&(![X17]:((![X18]:~ra_Px1(X17,X18))|cp1xcomp(X17)))),inference(variable_rename,[status(thm)],[c29])).
% 0.54/0.70 fof(c32,plain,(![X15]:(![X17]:(![X18]:((~cp1xcomp(X15)|ra_Px1(X15,skolem0001(X15)))&(~ra_Px1(X17,X18)|cp1xcomp(X17)))))),inference(shift_quantors,[status(thm)],[fof(c31,plain,((![X15]:(~cp1xcomp(X15)|ra_Px1(X15,skolem0001(X15))))&(![X17]:((![X18]:~ra_Px1(X17,X18))|cp1xcomp(X17)))),inference(skolemize,[status(esa)],[c30])).])).
% 0.54/0.70 cnf(c33,plain,~cp1xcomp(X106)|ra_Px1(X106,skolem0001(X106)),inference(split_conjunct,[status(thm)],[c32])).
% 0.54/0.70 cnf(c124,plain,ra_Px1(skolem0005(i2003_11_14_17_20_57644),skolem0001(skolem0005(i2003_11_14_17_20_57644))),inference(resolution,[status(thm)],[c33, c123])).
% 0.54/0.70 cnf(c173,plain,~cp1(skolem0005(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c124, c40])).
% 0.54/0.70 cnf(c3,axiom,X115!=X114|~cp1(X115)|cp1(X114),theory(equality)).
% 0.54/0.70 cnf(symmetry,axiom,X80!=X79|X79=X80,theory(equality)).
% 0.54/0.70 cnf(c52,plain,~cUnsatisfiable(X117)|rf2(X117,skolem0005(X117)),inference(split_conjunct,[status(thm)],[c47])).
% 0.54/0.70 cnf(c133,plain,rf2(i2003_11_14_17_20_57644,skolem0005(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c52, c18])).
% 0.54/0.70 fof(axiom_10,axiom,(![X]:(![Y]:(rf3(X,Y)=>rf2(X,Y)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_10)).
% 0.54/0.70 fof(c12,plain,(![X]:(![Y]:(~rf3(X,Y)|rf2(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_10])).
% 0.54/0.70 fof(c13,plain,(![X2]:(![X3]:(~rf3(X2,X3)|rf2(X2,X3)))),inference(variable_rename,[status(thm)],[c12])).
% 0.54/0.70 cnf(c14,plain,~rf3(X92,X91)|rf2(X92,X91),inference(split_conjunct,[status(thm)],[c13])).
% 0.54/0.70 cnf(c48,plain,~cUnsatisfiable(X112)|rf3(X112,skolem0003(X112)),inference(split_conjunct,[status(thm)],[c47])).
% 0.54/0.70 cnf(c128,plain,rf3(i2003_11_14_17_20_57644,skolem0003(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c48, c18])).
% 0.54/0.70 cnf(c130,plain,rf2(i2003_11_14_17_20_57644,skolem0003(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c128, c14])).
% 0.54/0.70 fof(axiom_6,axiom,(![X]:(![Y]:(![Z]:((rf2(X,Y)&rf2(X,Z))=>Y=Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.54/0.70 fof(c22,plain,(![X]:(![Y]:(![Z]:((~rf2(X,Y)|~rf2(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.54/0.70 fof(c23,plain,(![X9]:(![X10]:(![X11]:((~rf2(X9,X10)|~rf2(X9,X11))|X10=X11)))),inference(variable_rename,[status(thm)],[c22])).
% 0.54/0.70 cnf(c24,plain,~rf2(X168,X167)|~rf2(X168,X166)|X167=X166,inference(split_conjunct,[status(thm)],[c23])).
% 0.54/0.70 cnf(c149,plain,~rf2(i2003_11_14_17_20_57644,X212)|X212=skolem0003(i2003_11_14_17_20_57644),inference(resolution,[status(thm)],[c24, c130])).
% 0.54/0.70 cnf(c182,plain,skolem0005(i2003_11_14_17_20_57644)=skolem0003(i2003_11_14_17_20_57644),inference(resolution,[status(thm)],[c149, c133])).
% 0.54/0.70 cnf(c184,plain,skolem0003(i2003_11_14_17_20_57644)=skolem0005(i2003_11_14_17_20_57644),inference(resolution,[status(thm)],[c182, symmetry])).
% 0.54/0.70 cnf(c196,plain,~cp1(skolem0003(i2003_11_14_17_20_57644))|cp1(skolem0005(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c184, c3])).
% 0.54/0.70 cnf(c51,plain,~cUnsatisfiable(X96)|cp1(skolem0004(X96)),inference(split_conjunct,[status(thm)],[c47])).
% 0.54/0.70 cnf(c121,plain,cp1(skolem0004(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c51, c18])).
% 0.54/0.70 cnf(c50,plain,~cUnsatisfiable(X113)|rf1(X113,skolem0004(X113)),inference(split_conjunct,[status(thm)],[c47])).
% 0.54/0.70 cnf(c131,plain,rf1(i2003_11_14_17_20_57644,skolem0004(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c50, c18])).
% 0.54/0.70 fof(axiom_9,axiom,(![X]:(![Y]:(rf3(X,Y)=>rf1(X,Y)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 0.54/0.70 fof(c15,plain,(![X]:(![Y]:(~rf3(X,Y)|rf1(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_9])).
% 0.54/0.70 fof(c16,plain,(![X4]:(![X5]:(~rf3(X4,X5)|rf1(X4,X5)))),inference(variable_rename,[status(thm)],[c15])).
% 0.54/0.70 cnf(c17,plain,~rf3(X93,X94)|rf1(X93,X94),inference(split_conjunct,[status(thm)],[c16])).
% 0.54/0.70 cnf(c129,plain,rf1(i2003_11_14_17_20_57644,skolem0003(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c128, c17])).
% 0.54/0.70 fof(axiom_5,axiom,(![X]:(![Y]:(![Z]:((rf1(X,Y)&rf1(X,Z))=>Y=Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.54/0.70 fof(c25,plain,(![X]:(![Y]:(![Z]:((~rf1(X,Y)|~rf1(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.54/0.70 fof(c26,plain,(![X12]:(![X13]:(![X14]:((~rf1(X12,X13)|~rf1(X12,X14))|X13=X14)))),inference(variable_rename,[status(thm)],[c25])).
% 0.54/0.70 cnf(c27,plain,~rf1(X177,X175)|~rf1(X177,X176)|X175=X176,inference(split_conjunct,[status(thm)],[c26])).
% 0.54/0.70 cnf(c153,plain,~rf1(i2003_11_14_17_20_57644,X217)|X217=skolem0003(i2003_11_14_17_20_57644),inference(resolution,[status(thm)],[c27, c129])).
% 0.54/0.70 cnf(c203,plain,skolem0004(i2003_11_14_17_20_57644)=skolem0003(i2003_11_14_17_20_57644),inference(resolution,[status(thm)],[c153, c131])).
% 0.54/0.70 cnf(c211,plain,~cp1(skolem0004(i2003_11_14_17_20_57644))|cp1(skolem0003(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c203, c3])).
% 0.54/0.70 cnf(c340,plain,cp1(skolem0003(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c211, c121])).
% 0.54/0.70 cnf(c343,plain,cp1(skolem0005(i2003_11_14_17_20_57644)),inference(resolution,[status(thm)],[c340, c196])).
% 0.54/0.70 cnf(c344,plain,$false,inference(resolution,[status(thm)],[c343, c173])).
% 0.54/0.70 % SZS output end CNFRefutation
% 0.54/0.70
% 0.54/0.70 % Initial clauses : 52
% 0.54/0.70 % Processed clauses : 111
% 0.54/0.70 % Factors computed : 4
% 0.54/0.70 % Resolvents computed: 225
% 0.54/0.70 % Tautologies deleted: 11
% 0.54/0.70 % Forward subsumed : 67
% 0.54/0.70 % Backward subsumed : 4
% 0.54/0.70 % -------- CPU Time ---------
% 0.54/0.70 % User time : 0.335 s
% 0.54/0.70 % System time : 0.013 s
% 0.54/0.70 % Total time : 0.348 s
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